An optimization approach for the numerical approximation of differential equations

DOI10.1080/02331934.2011.649283zbMath1287.49034OpenAlexW2013650881MaRDI QIDQ5413889

Sergio Amat, Pablo Pedregal, David J. López

Publication date: 2 May 2014

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2011.649283

zbMATH Keywords

optimizationstabilityvariational methodsquadrature formulaestiff ODEsHermite's interpolation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational methods involving nonlinear operators (47J30) Numerical methods based on nonlinear programming (49M37) Numerical interpolation (65D05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (3)

On a Newton-type method for differential-algebraic equations ⋮ A variable step-size implementation of a variational method for stiff differential equations ⋮ On differential singular perturbation problems: a simple variational approach

Cites Work

• Variational time integrators
• Discrete mechanics and variational integrators
• A variational approach to implicit ODEs and differential inclusions
• Solving Ordinary Differential Equations II
• Numerical Methods for Ordinary Differential Equations

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